Subgroups — #11704196

Order 768.

11770 conjugacy classes of subgroups.

The subgroup lattice has 1164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₃×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
2	C₃×#3496	C₂	1	1	yes	maximal, characteristic, complemented
3	#87281	C₂	1	2	yes	maximal, complemented
4	#86700	C₂	1	8	yes	maximal, complemented
5	#86663	C₂	1	8	yes	maximal, complemented
6	#86662	C₂	1	8	yes	maximal, complemented
7	#86620	C₂	1	8	yes	maximal, complemented
8	#86382	C₂	1	2	yes	maximal, complemented
9	#86363	C₂	1	2	yes	maximal, complemented
10	D₃×#534	C₂	1	4	yes	maximal, complemented
11	#86298	C₂	1	4	yes	maximal, complemented
12	#86241	C₂	1	2	yes	maximal, complemented
13	#86235	C₂	1	2	yes	maximal, complemented
14	#85950	C₂	1	4	yes	maximal, complemented
15	C₂×#5605	C₂	1	4	yes	maximal, complemented
16	#85786	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#5545	C₂	1	1	yes	maximal, characteristic, complemented
18	#62842	—	3	1	no	maximal, Sylow
19	C₂×C₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
20	D₃×H(5,𝔽₂)	—	2	32	no	—
21	C₂×#1009	C₂²	1	8	yes	complemented
22	C₂×#1009	C₂²	1	4	yes	complemented
23	C₂×D₃×#41	C₂²	1	4	yes	complemented
24	C₂×D₃×#41	C₂²	1	8	yes	complemented
25	C₂×#1004	C₂²	1	8	yes	complemented
26	C₂×#1004	C₂²	1	8	yes	complemented
27	C₂×#1004	C₂²	1	2	yes	complemented
28	C₂²×D₃×D₄	C₂²	1	1	yes	characteristic
29	C₂²×D₃×D₄	C₂²	1	8	yes	complemented
30	C₂²×D₃×D₄	C₂²	1	8	yes	complemented
31	C₃×#547	C₂²	1	4	yes	complemented
32	C₃×#546	C₂²	1	8	yes	complemented
33	C₃×D₄²	C₂²	1	4	yes	complemented
34	C₃×#537	C₂²	1	2	yes	complemented
35	C₃×#534	C₂²	1	4	yes	complemented
36	C₃×#532	C₂²	1	2	yes	complemented
37	C₂×C₃×#121	C₂²	1	4	yes	complemented
38	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
39	#5833	C₂²	1	4	yes	complemented
40	#5832	C₂²	1	4	yes	complemented
41	#5829	C₂²	1	8	yes	complemented
42	#5824	C₂²	1	8	yes	complemented
43	#5806	C₂²	1	8	yes	complemented
44	#5804	C₂²	1	8	yes	complemented
45	C₂×#939	C₂²	1	8	yes	complemented
46	D₄×#67	C₂²	1	8	yes	complemented
47	D₄×#67	C₂²	1	8	yes	complemented
48	C₂×#937	C₂²	1	8	yes	complemented
49	C₂×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×#930	C₂²	1	4	yes	complemented
51	C₂×C₄×#67	C₂²	1	2	yes	complemented
52	C₂²×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
53	#5726	C₂²	1	4	yes	complemented
54	#5724	C₂²	1	4	yes	complemented
55	#5717	C₂²	1	4	yes	complemented
56	#5715	C₂²	1	4	yes	complemented
57	#5676	C₂²	1	8	yes	complemented
58	#5675	C₂²	1	4	yes	complemented
59	#5674	C₂²	1	4	yes	complemented
60	#5655	C₂²	1	16	yes	complemented
61	#5654	C₂²	1	16	yes	complemented
62	#5653	C₂²	1	16	yes	complemented
63	D₃×#123	C₂²	1	16	yes	complemented
64	#5631	C₂²	1	8	yes	complemented
65	#5630	C₂²	1	8	yes	complemented
66	#5628	C₂²	1	8	yes	complemented
67	#5627	C₂²	1	8	yes	complemented
68	#5612	C₂²	1	8	yes	complemented
69	#5611	C₂²	1	8	yes	complemented
70	#5610	C₂²	1	16	yes	complemented
71	#5609	C₂²	1	8	yes	complemented
72	#5609	C₂²	1	8	yes	complemented
73	#5607	C₂²	1	8	yes	complemented
74	#5606	C₂²	1	8	yes	complemented
75	#5605	C₂²	1	4	yes	complemented
76	#5605	C₂²	1	8	yes	complemented
77	#5605	C₂²	1	4	yes	complemented
78	#5605	C₂²	1	16	yes	complemented
79	#5605	C₂²	1	16	yes	complemented
80	#5605	C₂²	1	8	yes	complemented
81	#5605	C₂²	1	8	yes	complemented
82	D₃×#121	C₂²	1	8	yes	complemented
83	D₃×#121	C₂²	1	8	yes	complemented
84	#5597	C₂²	1	4	yes	complemented
85	#5597	C₂²	1	4	yes	complemented
86	#5596	C₂²	1	8	yes	complemented
87	#5591	C₂²	1	16	yes	complemented
88	#5590	C₂²	1	16	yes	complemented
89	#5589	C₂²	1	16	yes	complemented
90	D₃×#120	C₂²	1	16	yes	complemented
91	#5555	C₂²	1	4	yes	complemented
92	#5554	C₂²	1	8	yes	complemented
93	#5551	C₂²	1	4	yes	complemented
94	#5550	C₂²	1	8	yes	complemented
95	D₄×D₁₂	C₂²	1	4	yes	complemented
96	D₄×D₁₂	C₂²	1	4	yes	complemented
97	#5547	C₂²	1	8	yes	complemented
98	#5547	C₂²	1	8	yes	complemented
99	#5545	C₂²	1	8	yes	complemented
100	#5545	C₂²	1	8	yes	complemented
101	#5510	C₂²	1	2	yes	complemented
102	#5507	C₂²	1	8	yes	complemented
103	C₂×#894	C₂²	1	8	yes	complemented
104	C₂×#893	C₂²	1	1	yes	characteristic, complemented
105	C₂×#892	C₂²	1	1	yes	characteristic, complemented
106	#5493	C₂²	1	4	yes	complemented
107	#5490	C₂²	1	16	yes	complemented
108	C₂×#883	C₂²	1	8	yes	complemented
109	C₂×#882	C₂²	1	8	yes	complemented
110	C₂×#67⋊C₄	C₂²	1	2	yes	complemented
111	C₂×D₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
112	#5477	C₂²	1	2	yes	complemented
113	C₂×C₄×D₁₂	C₂²	1	1	yes	characteristic, complemented
114	C₂×#872	C₂²	1	1	yes	characteristic, complemented
115	C₂²×H(5,𝔽₂)	—	3	2	no	—
116	#3496	—	3	2	no	—
117	#3496	—	3	2	no	—
118	#3496	—	3	4	no	—
119	#3496	—	3	2	no	—
120	#3496	—	3	4	no	—
121	#3496	—	3	1	no	—
122	#3496	D₃	1	1	yes	characteristic, complemented
123	#3485	—	3	8	no	—
124	#3485	—	3	8	no	—
125	#3484	—	3	8	no	—
126	#3484	—	3	8	no	—
127	#3449	—	3	2	no	—
128	#3449	—	3	2	no	—
129	C₂×#534	—	3	4	no	—
130	C₂×#534	—	3	4	no	—
131	C₂×#518	—	3	1	no	—
132	C₂⁴×D₃	C₂³	1	2	yes	—
133	C₂⁴×D₃	C₂³	1	8	yes	complemented
134	C₃×H(5,𝔽₂)	—	2	16	no	—
135	C₂×C₃×#41	C₂³	1	8	yes	complemented
136	C₂×C₃×#41	C₂³	1	4	yes	complemented
137	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
138	C₂²×C₃×D₄	C₂³	1	8	yes	complemented
139	C₂²×C₃×D₄	C₂³	1	8	yes	complemented
140	C₂²×C₃×D₄	C₂³	1	4	yes	complemented
141	C₂³×C₃×C₄	C₂³	1	2	yes	complemented
142	C₂²×#67	C₂³	1	8	yes	—
143	C₂²×#67	C₂³	1	2	yes	—
144	C₂²×#67	C₂³	1	16	yes	complemented
145	C₂²×#67	C₂³	1	8	yes	complemented
146	C₂²×#67	C₂³	1	8	yes	complemented
147	C₂³×Dic₃	C₂³	1	2	yes	complemented
148	#1009	—	2	64	no	—
149	#1009	—	2	32	no	—
150	D₃×#41	—	2	64	no	—
151	D₃×#41	—	2	32	no	—
152	C₂×#239	C₂³	1	4	yes	—
153	C₂×#239	C₂³	1	8	yes	complemented
154	C₂×D₃×Q₈	C₂³	1	4	yes	complemented
155	#1004	—	2	16	no	—
156	#1004	—	2	64	no	—
157	#1004	—	2	64	no	—
158	C₂×#237	C₂³	1	4	yes	—
159	C₂×#237	C₂³	1	16	yes	complemented
160	C₂×#237	C₂³	1	8	yes	complemented
161	C₂×#237	C₂³	1	8	yes	complemented
162	C₂×D₃×D₄	—	2	64	no	—
163	C₂×D₃×D₄	—	2	64	no	—
164	C₂×D₃×D₄	D₄	1	16	yes	complemented
165	C₂×D₃×D₄	C₂³	1	16	yes	—
166	C₂×D₃×D₄	C₂³	1	8	yes	—
167	C₂×D₃×D₄	C₂³	1	8	yes	—
168	C₂×D₃×D₄	C₂³	1	16	yes	complemented
169	C₂×D₃×D₄	C₂³	1	16	yes	complemented
170	C₂×D₃×D₄	C₂³	1	4	yes	complemented
171	C₂×D₃×D₄	C₂³	1	8	yes	complemented
172	C₂×D₃×D₄	C₂³	1	8	yes	complemented
173	C₂×D₃×D₄	C₂³	1	16	yes	complemented
174	C₂×D₃×D₄	C₂³	1	8	yes	complemented
175	C₂×D₃×D₄	C₂³	1	8	yes	complemented
176	C₂×#235	C₂³	1	8	yes	—
177	C₂×#235	C₂³	1	16	yes	complemented
178	C₂×#235	C₂³	1	4	yes	complemented
179	C₂×#235	C₂³	1	8	yes	complemented
180	C₂²×D₁₂	C₂³	1	8	yes	—
181	C₂²×D₁₂	C₂³	1	1	yes	characteristic
182	C₂²×D₁₂	C₂³	1	8	yes	complemented
183	C₂²×D₁₂	C₂³	1	4	yes	complemented
184	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
186	C₂²×C₄×D₃	C₂³	1	8	yes	complemented
187	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
188	C₂²×C₄×D₃	C₂³	1	2	yes	complemented
189	C₃×C₄⋊Q₈	C₂³	1	2	yes	complemented
190	C₃×#127	C₂³	1	2	yes	complemented
191	C₃×#124	C₂³	1	4	yes	complemented
192	C₃×#123	C₂³	1	16	yes	complemented
193	C₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
194	C₃×#121	C₂³	1	8	yes	complemented
195	C₃×#121	C₂³	1	4	yes	complemented
196	C₃×#121	C₂³	1	8	yes	complemented
197	C₃×#121	C₂³	1	8	yes	complemented
198	C₃×#121	C₂³	1	4	yes	complemented
199	C₃×#121	C₂³	1	8	yes	complemented
200	C₃×#120	C₂³	1	16	yes	complemented
201	C₃×C₄×D₄	C₂³	1	4	yes	complemented
202	C₃×C₄×D₄	C₂³	1	4	yes	complemented
203	C₃×C₄×D₄	C₂³	1	4	yes	complemented
204	C₃×C₄×D₄	C₂³	1	4	yes	complemented
205	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
206	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	complemented
207	C₂×C₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
208	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
209	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic, complemented
210	#953	C₂³	1	16	yes	complemented
211	C₂×#217	C₂³	1	2	yes	complemented
212	C₂×#217	C₂³	1	8	yes	complemented
213	#947	C₂³	1	4	yes	complemented
214	#946	C₂³	1	8	yes	complemented
215	#944	C₂³	1	4	yes	complemented
216	#940	C₂³	1	4	yes	complemented
217	#940	C₂³	1	8	yes	complemented
218	#939	C₂³	1	16	yes	complemented
219	#939	C₂³	1	16	yes	complemented
220	#939	C₂³	1	8	yes	complemented
221	#939	C₂³	1	8	yes	complemented
222	#939	C₂³	1	8	yes	complemented
223	#939	C₂³	1	16	yes	complemented
224	#939	C₂³	1	8	yes	complemented
225	#938	C₂³	1	8	yes	complemented
226	#938	C₂³	1	8	yes	complemented
227	#938	C₂³	1	8	yes	complemented
228	#937	C₂³	1	16	yes	complemented
229	#937	C₂³	1	8	yes	complemented
230	#937	C₂³	1	8	yes	complemented
231	#937	C₂³	1	16	yes	complemented
232	#937	C₂³	1	16	yes	complemented
233	#937	C₂³	1	16	yes	complemented
234	#936	C₂³	1	4	yes	complemented
235	#935	C₂³	1	16	yes	complemented
236	D₄×Dic₃	C₂³	1	8	yes	complemented
237	D₄×Dic₃	C₂³	1	8	yes	complemented
238	#930	C₂³	1	4	yes	complemented
239	#930	C₂³	1	4	yes	complemented
240	#930	C₂³	1	8	yes	complemented
241	#930	C₂³	1	8	yes	complemented
242	#930	C₂³	1	8	yes	complemented
243	#930	C₂³	1	8	yes	complemented
244	#929	C₂³	1	16	yes	complemented
245	C₄×#67	C₂³	1	8	yes	complemented
246	C₄×#67	C₂³	1	8	yes	complemented
247	C₄×#67	C₂³	1	8	yes	complemented
248	C₄×#67	C₂³	1	8	yes	complemented
249	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
252	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
253	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
254	C₂×(C₂×D₃)⋊C₄	C₂³	1	2	yes	complemented
255	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
256	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
257	C₂×(C₂×D₃)⋊C₄	C₂³	1	8	yes	complemented
258	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₄⋊Dic₃	C₂³	1	4	yes	complemented
260	#924	C₂³	1	8	yes	complemented
261	C₂×Dic₃⋊C₄	C₂³	1	8	yes	complemented
262	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
263	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic, complemented
264	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic, complemented
265	C₂×C₄×Dic₃	C₂³	1	2	yes	complemented
266	#897	C₂³	1	8	yes	complemented
267	#896	C₂³	1	8	yes	complemented
268	#896	C₂³	1	8	yes	complemented
269	#895	C₂³	1	8	yes	complemented
270	#895	C₂³	1	8	yes	complemented
271	#895	C₂³	1	8	yes	complemented
272	#894	C₂³	1	8	yes	complemented
273	#894	C₂³	1	16	yes	complemented
274	#894	C₂³	1	16	yes	complemented
275	#894	C₂³	1	8	yes	complemented
276	#894	C₂³	1	16	yes	complemented
277	#893	C₂³	1	8	yes	complemented
278	#893	C₂³	1	8	yes	complemented
279	#892	C₂³	1	8	yes	complemented
280	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
281	D₃×C₄⋊C₄	C₂³	1	8	yes	complemented
282	#888	C₂³	1	8	yes	complemented
283	#886	C₂³	1	16	yes	complemented
284	#885	C₂³	1	16	yes	complemented
285	#884	C₂³	1	16	yes	complemented
286	#884	C₂³	1	16	yes	complemented
287	#884	C₂³	1	8	yes	complemented
288	#884	C₂³	1	8	yes	complemented
289	#883	C₂³	1	8	yes	complemented
290	#883	C₂³	1	16	yes	complemented
291	#883	C₂³	1	16	yes	complemented
292	#883	C₂³	1	8	yes	complemented
293	#883	C₂³	1	16	yes	complemented
294	#882	C₂³	1	8	yes	complemented
295	#882	C₂³	1	16	yes	complemented
296	#882	C₂³	1	16	yes	complemented
297	#882	C₂³	1	16	yes	complemented
298	#882	C₂³	1	8	yes	complemented
299	#882	C₂³	1	16	yes	complemented
300	#67⋊C₄	C₂³	1	16	yes	complemented
301	#67⋊C₄	C₂³	1	16	yes	complemented
302	D₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
303	D₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
304	D₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
305	#878	C₂³	1	8	yes	complemented
306	#878	C₂³	1	8	yes	complemented
307	#875	C₂³	1	4	yes	complemented
308	#874	C₂³	1	2	yes	complemented
309	C₄×D₁₂	C₂³	1	4	yes	complemented
310	C₄×D₁₂	C₂³	1	4	yes	complemented
311	C₄×D₁₂	C₂³	1	4	yes	complemented
312	C₄×D₁₂	C₂³	1	4	yes	complemented
313	#872	C₂³	1	4	yes	complemented
314	#872	C₂³	1	4	yes	complemented
315	#869	C₂³	1	2	yes	complemented
316	C₂×H(5,𝔽₂)	—	3	8	no	—
317	C₂×H(5,𝔽₂)	—	3	4	no	—
318	C₂×H(5,𝔽₂)	—	3	2	no	—
319	C₂×H(5,𝔽₂)	—	3	8	no	—
320	C₂×H(5,𝔽₂)	—	3	8	no	—
321	C₂×H(5,𝔽₂)	—	6	32	no	—
322	C₂×H(5,𝔽₂)	C₂×D₃	1	2	yes	complemented
323	C₂²×#41	—	3	4	no	—
324	C₂²×#41	—	3	8	no	—
325	C₂³×D₄	—	3	1	no	—
326	C₂³×D₄	—	3	8	no	—
327	C₂³×D₄	—	3	8	no	—
328	#547	—	3	8	no	—
329	#547	—	3	4	no	—
330	#547	—	3	16	no	—
331	#547	—	3	8	no	—
332	#547	—	3	8	no	—
333	#547	—	3	4	no	—
334	#547	—	3	4	no	—
335	#547	—	3	8	no	—
336	#547	C₂×D₃	1	4	yes	complemented
337	#546	—	3	8	no	—
338	#546	—	3	8	no	—
339	#546	—	3	8	no	—
340	#546	—	3	16	no	—
341	#546	—	3	8	no	—
342	#546	—	3	16	no	—
343	#546	—	3	8	no	—
344	#546	—	3	16	no	—
345	#546	—	3	8	no	—
346	#546	—	3	8	no	—
347	#546	—	3	16	no	—
348	#546	C₂×D₃	1	8	yes	complemented
349	D₄²	—	3	8	no	—
350	D₄²	—	3	8	no	—
351	D₄²	—	3	4	no	—
352	D₄²	—	3	8	no	—
353	D₄²	—	3	8	no	—
354	D₄²	—	3	16	no	—
355	D₄²	—	3	4	no	—
356	D₄²	—	3	4	no	—
357	D₄²	C₂×D₃	1	4	yes	complemented
358	#537	—	3	4	no	—
359	#537	—	3	4	no	—
360	#537	—	3	4	no	—
361	#537	—	3	2	no	—
362	#537	C₂×D₃	1	2	yes	complemented
363	#536	—	3	4	no	—
364	#536	—	3	4	no	—
365	#536	—	3	8	no	—
366	#535	—	3	4	no	—
367	#535	—	3	4	no	—
368	#535	—	3	8	no	—
369	#534	—	3	8	no	—
370	#534	—	3	16	no	—
371	#534	—	3	4	no	—
372	#534	—	3	8	no	—
373	#534	—	3	4	no	—
374	#534	—	3	16	no	—
375	#534	—	3	16	no	—
376	#534	—	3	8	no	—
377	#534	—	3	8	no	—
378	#534	—	3	16	no	—
379	#534	—	3	4	no	—
380	#534	C₂×D₃	1	4	yes	complemented
381	#532	—	3	4	no	—
382	#532	—	3	8	no	—
383	#532	—	3	2	no	—
384	#532	C₂×D₃	1	2	yes	complemented
385	#525	—	3	8	no	—
386	#525	—	3	8	no	—
387	#525	—	3	8	no	—
388	#525	—	3	8	no	—
389	C₂×#123	—	3	16	no	—
390	C₂×#123	—	3	8	no	—
391	C₂×#123	—	3	8	no	—
392	C₂×#121	—	3	8	no	—
393	C₂×#121	—	3	4	no	—
394	C₂×#121	—	3	8	no	—
395	C₂×#121	—	3	8	no	—
396	C₂×#121	C₂×D₃	1	4	yes	complemented
397	C₂×#120	—	3	8	no	—
398	C₂×#120	—	3	16	no	—
399	C₂×#120	—	3	8	no	—
400	#518	—	3	8	no	—
401	#518	—	3	8	no	—
402	C₂×C₄×D₄	—	3	1	no	—
403	C₂×C₄×D₄	—	3	2	no	—
404	C₂×C₄×D₄	—	3	1	no	—
405	C₂×C₄×D₄	—	3	2	no	—
406	C₂×C₄×D₄	—	3	1	no	—
407	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic, complemented
408	C₂×#117	—	3	1	no	—
409	C₂×#117	—	3	1	no	—
410	C₂²×C₂²⋊C₄	—	3	2	no	—
411	C₂²×C₂²⋊C₄	—	3	2	no	—
412	C₂⁴×C₃	C₂⁴	1	8	yes	—
413	C₂⁴×C₃	C₂⁴	1	2	yes	—
414	C₂³×D₃	—	2	32	no	—
415	C₂³×D₃	—	8	2	no	—
416	C₂³×D₃	—	8	2	no	—
417	C₂³×D₃	—	8	8	no	—
418	C₂³×D₃	—	8	8	no	—
419	C₂³×D₃	C₂×D₄	1	16	yes	complemented
420	C₂³×D₃	C₂⁴	1	16	yes	—
421	C₂³×D₃	C₂⁴	1	8	yes	—
422	C₂³×D₃	C₂⁴	1	8	yes	—
423	C₂³×D₃	C₂⁴	1	8	yes	—
424	C₂³×D₃	C₂⁴	1	1	yes	characteristic
425	C₂³×D₃	C₂⁴	1	2	yes	—
426	C₃×#41	—	2	32	no	—
427	C₃×#41	—	2	16	no	—
428	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
429	C₂×C₃×D₄	—	2	32	no	—
430	C₂×C₃×D₄	—	2	32	no	—
431	C₂×C₃×D₄	—	8	4	no	—
432	C₂×C₃×D₄	C₂×D₄	1	8	yes	complemented
433	C₂×C₃×D₄	C₂⁴	1	16	yes	—
434	C₂×C₃×D₄	C₂⁴	1	4	yes	—
435	C₂×C₃×D₄	C₂⁴	1	8	yes	—
436	C₂×C₃×D₄	C₂⁴	1	8	yes	—
437	C₂×C₃×D₄	C₂⁴	1	4	yes	—
438	C₂×C₃×D₄	C₂⁴	1	4	yes	—
439	C₂×C₃×D₄	C₂⁴	1	4	yes	—
440	C₂²×C₃×C₄	—	8	2	no	—
441	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
442	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
443	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
444	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
445	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
446	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
447	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
448	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
449	C₂×#67	—	2	32	no	—
450	C₂×#67	—	2	32	no	—
451	C₂×#67	—	2	64	no	—
452	C₂×#67	—	8	8	no	—
453	C₂×#67	C₂×D₄	1	16	yes	complemented
454	C₂×#67	C₂⁴	1	16	yes	—
455	C₂×#67	C₂⁴	1	8	yes	—
456	C₂×#67	C₂⁴	1	16	yes	—
457	C₂×#67	C₂⁴	1	8	yes	—
458	C₂×#67	C₂⁴	1	8	yes	—
459	C₂×#67	C₂⁴	1	16	yes	—
460	C₂×#67	C₂⁴	1	8	yes	—
461	C₂×#67	C₂⁴	1	8	yes	—
462	C₂×#67	C₂⁴	1	8	yes	—
463	C₂²×Dic₃	—	8	2	no	—
464	C₂²×Dic₃	C₂⁴	1	8	yes	—
465	C₂²×Dic₃	C₂⁴	1	8	yes	—
466	C₂²×Dic₃	C₂⁴	1	8	yes	—
467	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₃	C₂⁴	1	2	yes	—
470	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
471	#239	—	2	32	no	—
472	#239	—	2	16	no	—
473	D₃×Q₈	—	2	16	no	—
474	#237	—	2	32	no	—
475	#237	—	2	64	no	—
476	#237	—	2	32	no	—
477	#237	—	2	16	no	—
478	D₃×D₄	—	2	32	no	—
479	D₃×D₄	—	2	64	no	—
480	D₃×D₄	—	2	64	no	—
481	D₃×D₄	—	2	64	no	—
482	D₃×D₄	—	2	32	no	—
483	D₃×D₄	—	2	64	no	—
484	D₃×D₄	—	2	32	no	—
485	D₃×D₄	—	2	16	no	—
486	D₃×D₄	—	8	8	no	—
487	D₃×D₄	—	8	8	no	—
488	D₃×D₄	C₂×D₄	1	64	yes	complemented
489	#235	—	2	16	no	—
490	#235	—	2	64	no	—
491	#235	—	2	32	no	—
492	#235	—	2	32	no	—
493	C₂×D₁₂	—	2	32	no	—
494	C₂×D₁₂	—	2	32	no	—
495	C₂×D₁₂	—	8	4	no	—
496	C₂×D₁₂	C₂×D₄	1	8	yes	complemented
497	C₂×D₁₂	C₂⁴	1	4	yes	—
498	C₂×D₁₂	C₂⁴	1	8	yes	—
499	C₂×D₁₂	C₂⁴	1	16	yes	—
500	C₂×D₁₂	C₂⁴	1	4	yes	—
501	C₂×D₁₂	C₂⁴	1	4	yes	—
502	C₂×D₁₂	C₂⁴	1	8	yes	—
503	C₂×D₁₂	C₂⁴	1	4	yes	—
504	C₂×C₄×D₃	—	2	32	no	—
505	C₂×C₄×D₃	—	2	32	no	—
506	C₂×C₄×D₃	—	8	2	no	—
507	C₂×C₄×D₃	—	8	2	no	—
508	C₂×C₄×D₃	C₂×D₄	1	8	yes	complemented
509	C₂×C₄×D₃	C₂⁴	1	8	yes	—
510	C₂×C₄×D₃	C₂⁴	1	16	yes	—
511	C₂×C₄×D₃	C₂⁴	1	8	yes	—
512	C₂×C₄×D₃	C₂⁴	1	8	yes	—
513	C₂×C₄×D₃	C₂⁴	1	8	yes	—
514	C₂×C₄×D₃	C₂⁴	1	8	yes	—
515	C₂×C₄×D₃	C₂⁴	1	4	yes	—
516	C₂×Dic₆	C₂⁴	1	4	yes	—
517	C₂×Dic₆	C₂⁴	1	8	yes	—
518	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
519	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
520	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
521	C₃×C₄⋊C₄	C₂⁴	1	4	yes	—
522	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
523	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
525	C₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
526	C₃×C₄²	C₂⁴	1	2	yes	—
527	C₃×C₄²	C₂⁴	1	2	yes	—
528	#217	C₂⁴	1	8	yes	—
529	#217	C₂⁴	1	8	yes	—
530	#217	C₂⁴	1	8	yes	—
531	#217	C₂⁴	1	16	yes	—
532	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
533	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
534	(C₂×D₃)⋊C₄	C₂⁴	1	2	yes	—
535	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
536	(C₂×D₃)⋊C₄	C₂⁴	1	4	yes	—
537	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
538	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
539	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
540	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
541	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
542	(C₂×D₃)⋊C₄	C₂⁴	1	16	yes	—
543	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
544	(C₂×D₃)⋊C₄	C₂⁴	1	8	yes	—
545	C₄⋊Dic₃	C₂⁴	1	4	yes	—
546	C₄⋊Dic₃	C₂⁴	1	4	yes	—
547	C₄⋊Dic₃	C₂⁴	1	4	yes	—
548	C₄⋊Dic₃	C₂⁴	1	8	yes	—
549	Dic₃⋊C₄	C₂⁴	1	2	yes	—
550	Dic₃⋊C₄	C₂⁴	1	4	yes	—
551	Dic₃⋊C₄	C₂⁴	1	2	yes	—
552	Dic₃⋊C₄	C₂⁴	1	8	yes	—
553	Dic₃⋊C₄	C₂⁴	1	8	yes	—
554	Dic₃⋊C₄	C₂⁴	1	16	yes	—
555	C₄×Dic₃	C₂⁴	1	4	yes	—
556	C₄×Dic₃	C₂⁴	1	8	yes	—
557	C₂⁵	—	3	2	no	—
558	C₂⁵	—	3	8	no	—
559	H(5,𝔽₂)	—	2	16	no	—
560	H(5,𝔽₂)	—	6	64	no	—
561	H(5,𝔽₂)	—	6	64	no	—
562	H(5,𝔽₂)	—	6	64	no	—
563	H(5,𝔽₂)	—	6	32	no	—
564	H(5,𝔽₂)	—	6	16	no	—
565	C₂×#41	—	3	4	no	—
566	C₂×#41	—	3	8	no	—
567	C₂×#41	—	3	4	no	—
568	C₂×#41	—	3	8	no	—
569	C₂×#41	—	3	8	no	—
570	C₂×#41	—	3	16	no	—
571	C₂×#41	—	3	8	no	—
572	C₂×#41	—	3	4	no	—
573	C₂×#41	—	3	8	no	—
574	C₂×#41	—	3	16	no	—
575	C₂×#41	—	6	32	no	—
576	C₂×#41	—	6	64	no	—
577	C₂×#41	C₂²×D₃	1	4	yes	complemented
578	C₂×#41	C₂²×D₃	1	8	yes	complemented
579	C₂²×Q₈	—	3	4	no	—
580	C₂²×D₄	—	3	2	no	—
581	C₂²×D₄	—	3	16	no	—
582	C₂²×D₄	—	3	8	no	—
583	C₂²×D₄	—	3	8	no	—
584	C₂²×D₄	—	3	8	no	—
585	C₂²×D₄	—	3	16	no	—
586	C₂²×D₄	—	3	8	no	—
587	C₂²×D₄	—	3	16	no	—
588	C₂²×D₄	—	3	16	no	—
589	C₂²×D₄	—	3	8	no	—
590	C₂²×D₄	—	3	16	no	—
591	C₂²×D₄	—	3	4	no	—
592	C₂²×D₄	—	3	16	no	—
593	C₂²×D₄	—	3	8	no	—
594	C₂²×D₄	—	3	8	no	—
595	C₂²×D₄	—	3	8	no	—
596	C₂²×D₄	—	3	8	no	—
597	C₂²×D₄	—	3	1	no	—
598	C₂²×D₄	—	3	8	no	—
599	C₂²×D₄	—	3	8	no	—
600	C₂²×D₄	—	3	4	no	—
601	C₂²×D₄	—	6	64	no	—
602	C₂²×D₄	—	6	64	no	—
603	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
604	C₂²×D₄	C₂²×D₃	1	8	yes	complemented
605	C₂²×D₄	C₂²×D₃	1	8	yes	complemented
606	C₂²×D₄	C₂²×D₃	1	4	yes	complemented
607	C₂³×C₄	—	3	1	no	—
608	C₂³×C₄	—	3	2	no	—
609	C₂³×C₄	—	3	8	no	—
610	C₂³×C₄	—	3	8	no	—
611	C₂³×C₄	—	3	2	no	—
612	C₂³×C₄	—	3	2	no	—
613	C₂³×C₄	C₂²×D₃	1	2	yes	complemented
614	C₄⋊Q₈	—	3	4	no	—
615	C₄⋊Q₈	—	3	8	no	—
616	C₄⋊Q₈	—	3	2	no	—
617	C₄⋊Q₈	C₂²×D₃	1	2	yes	complemented
618	#127	—	3	8	no	—
619	#127	—	3	4	no	—
620	#127	—	3	2	no	—
621	#127	C₂²×D₃	1	2	yes	complemented
622	#124	—	3	4	no	—
623	#124	—	3	4	no	—
624	#124	—	3	16	no	—
625	#124	—	3	4	no	—
626	#124	C₂²×D₃	1	4	yes	complemented
627	#123	—	3	16	no	—
628	#123	—	3	16	no	—
629	#123	—	3	8	no	—
630	#123	—	3	16	no	—
631	#123	—	3	8	no	—
632	#123	—	3	16	no	—
633	#123	—	3	16	no	—
634	#123	—	3	8	no	—
635	#123	—	3	16	no	—
636	#123	—	3	8	no	—
637	#123	—	3	16	no	—
638	#123	—	3	16	no	—
639	#123	—	3	16	no	—
640	#123	C₂²×D₃	1	16	yes	complemented
641	C₂²⋊Q₈	—	3	8	no	—
642	C₂²⋊Q₈	—	3	8	no	—
643	C₂²⋊Q₈	—	3	8	no	—
644	C₂²⋊Q₈	—	3	8	no	—
645	C₂²⋊Q₈	—	3	8	no	—
646	C₂²⋊Q₈	—	3	8	no	—
647	C₂²⋊Q₈	—	3	8	no	—
648	C₂²⋊Q₈	C₂²×D₃	1	8	yes	complemented
649	#121	—	3	8	no	—
650	#121	—	3	16	no	—
651	#121	—	3	8	no	—
652	#121	—	3	8	no	—
653	#121	—	3	8	no	—
654	#121	—	3	16	no	—
655	#121	—	3	16	no	—
656	#121	—	3	8	no	—
657	#121	—	3	8	no	—
658	#121	—	3	8	no	—
659	#121	—	3	8	no	—
660	#121	—	3	4	no	—
661	#121	—	3	4	no	—
662	#121	—	3	8	no	—
663	#121	—	3	8	no	—
664	#121	—	3	8	no	—
665	#121	—	3	8	no	—
666	#121	—	3	8	no	—
667	#121	—	3	8	no	—
668	#121	—	3	16	no	—
669	#121	—	3	16	no	—
670	#121	—	3	8	no	—
671	#121	—	3	8	no	—
672	#121	C₂²×D₃	1	4	yes	complemented
673	#121	C₂²×D₃	1	8	yes	complemented
674	#121	C₂²×D₃	1	4	yes	complemented
675	#121	C₂²×D₃	1	8	yes	complemented
676	#121	C₂²×D₃	1	8	yes	complemented
677	#121	C₂²×D₃	1	8	yes	complemented
678	#120	—	3	16	no	—
679	#120	—	3	16	no	—
680	#120	—	3	8	no	—
681	#120	—	3	8	no	—
682	#120	—	3	16	no	—
683	#120	—	3	16	no	—
684	#120	—	3	16	no	—
685	#120	—	3	8	no	—
686	#120	—	3	16	no	—
687	#120	—	3	8	no	—
688	#120	—	3	16	no	—
689	#120	—	3	16	no	—
690	#120	—	3	16	no	—
691	#120	C₂²×D₃	1	16	yes	complemented
692	C₄×D₄	—	3	8	no	—
693	C₄×D₄	—	3	8	no	—
694	C₄×D₄	—	3	8	no	—
695	C₄×D₄	—	3	8	no	—
696	C₄×D₄	—	3	8	no	—
697	C₄×D₄	—	3	8	no	—
698	C₄×D₄	—	3	8	no	—
699	C₄×D₄	—	3	8	no	—
700	C₄×D₄	—	3	16	no	—
701	C₄×D₄	—	3	16	no	—
702	C₄×D₄	—	3	4	no	—
703	C₄×D₄	—	3	4	no	—
704	C₄×D₄	—	3	4	no	—
705	C₄×D₄	—	3	4	no	—
706	C₄×D₄	C₂²×D₃	1	4	yes	complemented
707	C₄×D₄	C₂²×D₃	1	4	yes	complemented
708	C₄×D₄	C₂²×D₃	1	4	yes	complemented
709	C₄×D₄	C₂²×D₃	1	4	yes	complemented
710	#117	—	3	8	no	—
711	#117	—	3	4	no	—
712	#117	—	3	4	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	8	no	—
717	C₂×C₄⋊C₄	—	3	4	no	—
718	C₂×C₄⋊C₄	—	3	8	no	—
719	C₂×C₄⋊C₄	—	3	8	no	—
720	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic, complemented
721	C₂×C₄⋊C₄	C₂²×D₃	1	4	yes	complemented
722	C₂×C₂²⋊C₄	—	3	2	no	—
723	C₂×C₂²⋊C₄	—	3	8	no	—
724	C₂×C₂²⋊C₄	—	3	2	no	—
725	C₂×C₂²⋊C₄	—	3	1	no	—
726	C₂×C₂²⋊C₄	—	3	1	no	—
727	C₂×C₂²⋊C₄	—	3	2	no	—
728	C₂×C₂²⋊C₄	—	3	2	no	—
729	C₂×C₂²⋊C₄	—	3	8	no	—
730	C₂×C₂²⋊C₄	—	3	8	no	—
731	C₂×C₂²⋊C₄	—	3	8	no	—
732	C₂×C₂²⋊C₄	—	3	8	no	—
733	C₂×C₂²⋊C₄	—	3	16	no	—
734	C₂×C₂²⋊C₄	—	3	16	no	—
735	C₂×C₂²⋊C₄	—	3	16	no	—
736	C₂×C₂²⋊C₄	C₂²×D₃	1	2	yes	complemented
737	C₂×C₂²⋊C₄	C₂²×D₃	1	8	yes	complemented
738	C₂×C₄²	—	3	2	no	—
739	C₂×C₄²	—	3	1	no	—
740	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic, complemented
741	C₂³×C₃	—	2	16	no	—
742	C₂³×C₃	—	4	2	no	—
743	C₂³×C₃	—	4	2	no	—
744	C₂³×C₃	—	4	8	no	—
745	C₂³×C₃	—	4	8	no	—
746	C₂³×C₃	C₂²×D₄	1	8	yes	—
747	C₂³×C₃	C₂⁵	1	8	yes	—
748	C₂³×C₃	C₂⁵	1	4	yes	—
749	C₂³×C₃	C₂⁵	1	1	yes	characteristic
750	C₂²×D₃	—	2	16	no	—
751	C₂²×D₃	—	2	16	no	—
752	C₂²×D₃	—	2	32	no	—
753	C₂²×D₃	—	4	2	no	—
754	C₂²×D₃	—	4	2	no	—
755	C₂²×D₃	—	4	8	no	—
756	C₂²×D₃	—	4	8	no	—
757	C₂²×D₃	—	4	1	no	—
758	C₂²×D₃	—	4	1	no	—
759	C₂²×D₃	—	4	8	no	—
760	C₂²×D₃	—	4	8	no	—
761	C₂²×D₃	—	4	8	no	—
762	C₂²×D₃	—	4	16	no	—
763	C₂²×D₃	—	4	16	no	—
764	C₂²×D₃	—	4	8	no	—
765	C₂²×D₃	—	8	16	no	—
766	C₂²×D₃	—	8	64	no	—
767	C₂²×D₃	C₂²×D₄	1	32	yes	—
768	C₂²×D₃	C₂²×D₄	1	4	yes	—
769	C₂²×D₃	C₂²×D₄	1	8	yes	—
770	C₂²×D₃	C₂⁵	1	8	yes	—
771	C₂²×D₃	C₂⁵	1	2	yes	—
772	C₂²×D₃	C₂⁵	1	4	yes	—
773	C₃×Q₈	—	2	8	no	—
774	C₃×D₄	—	2	32	no	—
775	C₃×D₄	—	2	16	no	—
776	C₃×D₄	—	2	8	no	—
777	C₃×D₄	—	4	4	no	—
778	C₃×D₄	—	4	8	no	—
779	C₃×D₄	—	4	4	no	—
780	C₃×D₄	C₂²×D₄	1	16	yes	—
781	C₂×C₃×C₄	—	2	16	no	—
782	C₂×C₃×C₄	—	2	16	no	—
783	C₂×C₃×C₄	—	4	1	no	—
784	C₂×C₃×C₄	—	4	2	no	—
785	C₂×C₃×C₄	—	4	4	no	—
786	C₂×C₃×C₄	—	4	1	no	—
787	C₂×C₃×C₄	—	4	4	no	—
788	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
789	C₂×C₃×C₄	C₂⁵	1	4	yes	—
790	C₂×C₃×C₄	C₂⁵	1	8	yes	—
791	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
792	C₂×C₃×C₄	C₂⁵	1	2	yes	—
793	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
794	C₂×C₃×C₄	C₂⁵	1	2	yes	—
795	#67	—	2	32	no	—
796	#67	—	2	16	no	—
797	#67	—	2	16	no	—
798	#67	—	2	32	no	—
799	#67	—	2	16	no	—
800	#67	—	4	8	no	—
801	#67	—	4	16	no	—
802	#67	—	4	8	no	—
803	#67	C₂²×D₄	1	32	yes	—
804	C₂×Dic₃	—	2	16	no	—
805	C₂×Dic₃	—	2	16	no	—
806	C₂×Dic₃	—	4	1	no	—
807	C₂×Dic₃	—	4	2	no	—
808	C₂×Dic₃	—	4	1	no	—
809	C₂×Dic₃	—	4	8	no	—
810	C₂×Dic₃	C₂²×D₄	1	4	yes	—
811	C₂×Dic₃	C₂⁵	1	2	yes	—
812	C₂×Dic₃	C₂⁵	1	2	yes	—
813	C₂×Dic₃	C₂⁵	1	4	yes	—
814	C₂×Dic₃	C₂⁵	1	8	yes	—
815	C₂×Dic₃	C₂⁵	1	2	yes	—
816	D₁₂	—	2	16	no	—
817	D₁₂	—	2	32	no	—
818	D₁₂	—	2	8	no	—
819	D₁₂	—	4	4	no	—
820	D₁₂	—	4	8	no	—
821	D₁₂	—	4	4	no	—
822	D₁₂	C₂²×D₄	1	16	yes	—
823	C₄×D₃	—	2	16	no	—
824	C₄×D₃	—	2	32	no	—
825	C₄×D₃	—	2	16	no	—
826	C₄×D₃	—	2	16	no	—
827	C₄×D₃	—	4	8	no	—
828	C₄×D₃	—	4	8	no	—
829	C₄×D₃	C₂²×D₄	1	16	yes	—
830	Dic₆	—	2	8	no	—
831	Dic₆	—	2	16	no	—
832	C₂⁴	—	3	1	no	—
833	C₂⁴	—	3	8	no	—
834	C₂⁴	—	3	2	no	—
835	C₂⁴	—	3	16	no	—
836	C₂⁴	—	3	16	no	—
837	C₂⁴	—	3	8	no	—
838	C₂⁴	—	3	8	no	—
839	C₂⁴	—	6	32	no	—
840	C₂⁴	—	24	2	no	—
841	C₂⁴	—	24	2	no	—
842	C₂⁴	—	24	8	no	—
843	C₂⁴	—	24	8	no	—
844	C₂⁴	C₂³×D₃	1	8	yes	—
845	C₂⁴	C₂³×D₃	1	2	yes	—
846	#41	—	2	32	no	—
847	#41	—	2	16	no	—
848	#41	—	6	32	no	—
849	#41	—	6	64	no	—
850	#41	—	6	32	no	—
851	#41	—	6	32	no	—
852	#41	—	6	16	no	—
853	#41	—	6	16	no	—
854	#41	—	6	64	no	—
855	#41	—	6	32	no	—
856	#41	—	6	32	no	—
857	#41	—	6	16	no	—
858	C₂×Q₈	—	3	8	no	—
859	C₂×Q₈	—	3	4	no	—
860	C₂×Q₈	—	6	16	no	—
861	C₂×Q₈	C₂³×D₃	1	4	yes	—
862	C₂×D₄	—	2	32	no	—
863	C₂×D₄	—	2	32	no	—
864	C₂×D₄	—	3	16	no	—
865	C₂×D₄	—	3	8	no	—
866	C₂×D₄	—	3	64	no	—
867	C₂×D₄	—	3	8	no	—
868	C₂×D₄	—	3	16	no	—
869	C₂×D₄	—	3	16	no	—
870	C₂×D₄	—	3	8	no	—
871	C₂×D₄	—	3	8	no	—
872	C₂×D₄	—	3	8	no	—
873	C₂×D₄	—	3	8	no	—
874	C₂×D₄	—	3	16	no	—
875	C₂×D₄	—	3	8	no	—
876	C₂×D₄	—	3	4	no	—
877	C₂×D₄	—	3	8	no	—
878	C₂×D₄	—	3	16	no	—
879	C₂×D₄	—	3	4	no	—
880	C₂×D₄	—	3	8	no	—
881	C₂×D₄	—	3	4	no	—
882	C₂×D₄	—	3	4	no	—
883	C₂×D₄	—	6	32	no	—
884	C₂×D₄	—	6	32	no	—
885	C₂×D₄	—	6	16	no	—
886	C₂×D₄	—	6	64	no	—
887	C₂×D₄	—	6	32	no	—
888	C₂×D₄	—	6	32	no	—
889	C₂×D₄	—	6	64	no	—
890	C₂×D₄	—	6	64	no	—
891	C₂×D₄	—	6	64	no	—
892	C₂×D₄	—	6	64	no	—
893	C₂×D₄	—	6	32	no	—
894	C₂×D₄	—	6	32	no	—
895	C₂×D₄	—	6	32	no	—
896	C₂×D₄	—	8	4	no	—
897	C₂×D₄	—	24	4	no	—
898	C₂×D₄	—	24	8	no	—
899	C₂×D₄	—	24	8	no	—
900	C₂×D₄	—	24	8	no	—
901	C₂×D₄	D₃×D₄	1	8	yes	complemented
902	C₂×D₄	C₂³×D₃	1	16	yes	—
903	C₂×D₄	C₂³×D₃	1	8	yes	—
904	C₂×D₄	C₂³×D₃	1	4	yes	—
905	C₂×D₄	C₂³×D₃	1	8	yes	—
906	C₂×D₄	C₂³×D₃	1	4	yes	—
907	C₂×D₄	C₂³×D₃	1	4	yes	—
908	C₂×D₄	C₂³×D₃	1	4	yes	—
909	C₂²×C₄	—	3	1	no	—
910	C₂²×C₄	—	3	8	no	—
911	C₂²×C₄	—	3	4	no	—
912	C₂²×C₄	—	3	8	no	—
913	C₂²×C₄	—	3	8	no	—
914	C₂²×C₄	—	3	1	no	—
915	C₂²×C₄	—	3	2	no	—
916	C₂²×C₄	—	3	1	no	—
917	C₂²×C₄	—	3	8	no	—
918	C₂²×C₄	—	3	16	no	—
919	C₂²×C₄	—	3	8	no	—
920	C₂²×C₄	—	3	8	no	—
921	C₂²×C₄	—	3	8	no	—
922	C₂²×C₄	—	3	8	no	—
923	C₂²×C₄	—	3	8	no	—
924	C₂²×C₄	—	6	32	no	—
925	C₂²×C₄	—	6	32	no	—
926	C₂²×C₄	—	8	2	no	—
927	C₂²×C₄	—	24	2	no	—
928	C₂²×C₄	—	24	2	no	—
929	C₂²×C₄	—	24	2	no	—
930	C₂²×C₄	C₂³×D₃	1	8	yes	—
931	C₂²×C₄	C₂³×D₃	1	8	yes	—
932	C₂²×C₄	C₂³×D₃	1	2	yes	—
933	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
934	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₃	1	4	yes	—
936	C₂²×C₄	C₂³×D₃	1	4	yes	—
937	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
938	C₄⋊C₄	—	3	8	no	—
939	C₄⋊C₄	—	3	16	no	—
940	C₄⋊C₄	—	3	8	no	—
941	C₄⋊C₄	—	3	8	no	—
942	C₄⋊C₄	—	3	4	no	—
943	C₄⋊C₄	—	3	4	no	—
944	C₄⋊C₄	—	3	2	no	—
945	C₄⋊C₄	—	3	2	no	—
946	C₄⋊C₄	—	3	4	no	—
947	C₄⋊C₄	—	3	4	no	—
948	C₄⋊C₄	C₂³×D₃	1	4	yes	—
949	C₄⋊C₄	C₂³×D₃	1	8	yes	—
950	C₄⋊C₄	C₂³×D₃	1	4	yes	—
951	C₄⋊C₄	C₂³×D₃	1	4	yes	—
952	C₂²⋊C₄	—	3	8	no	—
953	C₂²⋊C₄	—	3	8	no	—
954	C₂²⋊C₄	—	3	16	no	—
955	C₂²⋊C₄	—	3	8	no	—
956	C₂²⋊C₄	—	3	8	no	—
957	C₂²⋊C₄	—	3	2	no	—
958	C₂²⋊C₄	—	3	2	no	—
959	C₂²⋊C₄	—	3	4	no	—
960	C₂²⋊C₄	—	3	8	no	—
961	C₂²⋊C₄	—	3	4	no	—
962	C₂²⋊C₄	—	3	4	no	—
963	C₂²⋊C₄	—	3	8	no	—
964	C₂²⋊C₄	—	3	16	no	—
965	C₂²⋊C₄	—	3	8	no	—
966	C₂²⋊C₄	—	3	16	no	—
967	C₂²⋊C₄	—	3	8	no	—
968	C₂²⋊C₄	—	3	8	no	—
969	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
970	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
971	C₂²⋊C₄	C₂³×D₃	1	16	yes	—
972	C₂²⋊C₄	C₂³×D₃	1	8	yes	—
973	C₄²	—	3	8	no	—
974	C₄²	—	3	4	no	—
975	C₄²	C₂³×D₃	1	2	yes	—
976	C₄²	C₂³×D₃	1	2	yes	—
977	C₂²×C₃	—	2	1	no	—
978	C₂²×C₃	—	2	4	no	—
979	C₂²×C₃	—	2	1	no	—
980	C₂²×C₃	—	2	4	no	—
981	C₂²×C₃	—	2	8	no	—
982	C₂²×C₃	—	2	8	no	—
983	C₂²×C₃	—	2	8	no	—
984	C₂²×C₃	—	4	8	no	—
985	C₂²×C₃	—	8	16	no	—
986	C₂²×C₃	C₂³×D₄	1	8	yes	—
987	C₂²×C₃	C₂³×D₄	1	2	yes	—
988	C₂²×C₃	C₂⁶	1	1	yes	characteristic
989	C₂×D₃	—	2	4	no	—
990	C₂×D₃	—	2	4	no	—
991	C₂×D₃	—	2	2	no	—
992	C₂×D₃	—	2	2	no	—
993	C₂×D₃	—	2	8	no	—
994	C₂×D₃	—	2	8	no	—
995	C₂×D₃	—	2	8	no	—
996	C₂×D₃	—	4	4	no	—
997	C₂×D₃	—	4	32	no	—
998	C₂×D₃	—	4	8	no	—
999	C₂×D₃	—	4	32	no	—
1000	C₂×D₃	—	8	32	no	—
1001	C₂×D₃	—	8	16	no	—
1002	C₂×D₃	C₂³×D₄	1	4	yes	—
1003	C₂×D₃	C₂³×D₄	1	8	yes	—
1004	C₃×C₄	—	2	8	no	—
1005	C₃×C₄	—	2	2	no	—
1006	C₃×C₄	—	2	4	no	—
1007	C₃×C₄	—	2	1	no	—
1008	C₃×C₄	—	2	1	no	—
1009	C₃×C₄	C₂³×D₄	1	4	yes	—
1010	Dic₃	—	2	8	no	—
1011	Dic₃	—	2	2	no	—
1012	Dic₃	—	2	4	no	—
1013	Dic₃	—	2	2	no	—
1014	Dic₃	C₂³×D₄	1	4	yes	—
1015	C₂³	—	2	16	no	—
1016	C₂³	—	3	2	no	—
1017	C₂³	—	3	4	no	—
1018	C₂³	—	3	4	no	—
1019	C₂³	—	3	32	no	—
1020	C₂³	—	3	8	no	—
1021	C₂³	—	3	8	no	—
1022	C₂³	—	4	2	no	—
1023	C₂³	—	4	2	no	—
1024	C₂³	—	4	8	no	—
1025	C₂³	—	4	8	no	—
1026	C₂³	—	6	16	no	—
1027	C₂³	—	6	32	no	—
1028	C₂³	—	6	16	no	—
1029	C₂³	—	12	2	no	—
1030	C₂³	—	12	2	no	—
1031	C₂³	—	12	1	no	—
1032	C₂³	—	12	8	no	—
1033	C₂³	—	12	1	no	—
1034	C₂³	—	12	8	no	—
1035	C₂³	—	12	8	no	—
1036	C₂³	—	12	8	no	—
1037	C₂³	—	12	8	no	—
1038	C₂³	—	12	8	no	—
1039	C₂³	—	12	16	no	—
1040	C₂³	—	12	16	no	—
1041	C₂³	—	24	16	no	—
1042	C₂³	—	24	64	no	—
1043	C₂³	C₂×D₃×D₄	1	8	yes	—
1044	C₂³	C₂⁴×D₃	1	8	yes	—
1045	C₂³	C₂⁴×D₃	1	4	yes	—
1046	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1047	Q₈	—	2	8	no	—
1048	Q₈	—	6	16	no	—
1049	Q₈	—	6	8	no	—
1050	D₄	—	2	32	no	—
1051	D₄	—	2	16	no	—
1052	D₄	—	2	8	no	—
1053	D₄	—	3	32	no	—
1054	D₄	—	3	16	no	—
1055	D₄	—	4	4	no	—
1056	D₄	—	4	8	no	—
1057	D₄	—	4	4	no	—
1058	D₄	—	6	16	no	—
1059	D₄	—	6	32	no	—
1060	D₄	—	6	16	no	—
1061	D₄	—	6	16	no	—
1062	D₄	—	6	32	no	—
1063	D₄	—	6	32	no	—
1064	D₄	—	6	16	no	—
1065	D₄	—	6	8	no	—
1066	D₄	—	12	4	no	—
1067	D₄	—	12	8	no	—
1068	D₄	—	12	4	no	—
1069	D₄	—	12	8	no	—
1070	D₄	—	12	16	no	—
1071	D₄	—	12	8	no	—
1072	D₄	C₂×D₃×D₄	1	16	yes	—
1073	C₂×C₄	—	2	16	no	—
1074	C₂×C₄	—	2	16	no	—
1075	C₂×C₄	—	3	4	no	—
1076	C₂×C₄	—	3	2	no	—
1077	C₂×C₄	—	3	16	no	—
1078	C₂×C₄	—	3	2	no	—
1079	C₂×C₄	—	3	4	no	—
1080	C₂×C₄	—	3	2	no	—
1081	C₂×C₄	—	3	8	no	—
1082	C₂×C₄	—	4	1	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	4	no	—
1086	C₂×C₄	—	4	1	no	—
1087	C₂×C₄	—	6	16	no	—
1088	C₂×C₄	—	6	16	no	—
1089	C₂×C₄	—	6	32	no	—
1090	C₂×C₄	—	6	16	no	—
1091	C₂×C₄	—	6	16	no	—
1092	C₂×C₄	—	6	16	no	—
1093	C₂×C₄	—	12	8	no	—
1094	C₂×C₄	—	12	8	no	—
1095	C₂×C₄	—	12	1	no	—
1096	C₂×C₄	—	12	2	no	—
1097	C₂×C₄	—	12	1	no	—
1098	C₂×C₄	—	12	8	no	—
1099	C₂×C₄	C₂×D₃×D₄	1	4	yes	—
1100	C₂×C₄	C₂⁴×D₃	1	4	yes	—
1101	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1102	C₂×C₄	C₂⁴×D₃	1	1	yes	characteristic
1103	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1104	C₂×C₄	C₂⁴×D₃	1	8	yes	—
1105	C₂×C₄	C₂⁴×D₃	1	2	yes	—
1106	C₂×C₃	—	2	2	no	—
1107	C₂×C₃	—	2	8	no	—
1108	C₂×C₃	—	4	8	no	—
1109	C₂×C₃	C₂⁴×D₄	1	1	yes	characteristic
1110	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1111	C₂×C₃	H(7,𝔽₂)	1	1	yes	characteristic
1112	D₃	—	2	4	no	—
1113	D₃	—	2	8	no	—
1114	D₃	—	4	8	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	4	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	4	no	—
1119	C₂²	—	2	8	no	—
1120	C₂²	—	2	8	no	—
1121	C₂²	—	2	8	no	—
1122	C₂²	—	3	4	no	—
1123	C₂²	—	3	8	no	—
1124	C₂²	—	4	8	no	—
1125	C₂²	—	6	4	no	—
1126	C₂²	—	6	2	no	—
1127	C₂²	—	6	4	no	—
1128	C₂²	—	6	2	no	—
1129	C₂²	—	6	8	no	—
1130	C₂²	—	6	8	no	—
1131	C₂²	—	6	8	no	—
1132	C₂²	—	8	16	no	—
1133	C₂²	—	12	4	no	—
1134	C₂²	—	12	32	no	—
1135	C₂²	—	12	8	no	—
1136	C₂²	—	12	32	no	—
1137	C₂²	—	24	16	no	—
1138	C₂²	—	24	32	no	—
1139	C₂²	C₂²×D₃×D₄	1	8	yes	—
1140	C₂²	C₂²×D₃×D₄	1	2	yes	—
1141	C₂²	C₂⁵×D₃	1	1	yes	characteristic
1142	C₄	—	2	8	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	4	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	3	4	no	—
1148	C₄	—	6	8	no	—
1149	C₄	—	6	2	no	—
1150	C₄	—	6	4	no	—
1151	C₄	—	6	2	no	—
1152	C₄	C₂²×D₃×D₄	1	4	yes	—
1153	C₃	#62842	1	1	yes	characteristic, complemented, Sylow
1154	C₂	—	2	2	no	—
1155	C₂	—	2	8	no	—
1156	C₂	—	4	8	no	—
1157	C₂	—	6	4	no	—
1158	C₂	—	6	8	no	—
1159	C₂	—	12	8	no	—
1160	C₂	C₂³×D₃×D₄	1	1	yes	characteristic
1161	C₂	#87568	1	1	yes	characteristic
1162	C₂	#87574	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₃
commutator, socle, cosocle	C₂²×C₃	C₂⁶
Fitting	C₃×#3496	C₂
hypercenter	#3496	D₃
hypocenter	C₃	#62842
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂² ◁ #3496

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×D₃×H(5,𝔽₂)	C₂	semidirect
2. C₃×#3496	C₂	semidirect
3. #87281	C₂	semidirect
4. #86700	C₂	semidirect
5. #86663	C₂	semidirect
6. #86662	C₂	semidirect
7. #86620	C₂	semidirect
8. #86382	C₂	semidirect
9. #86363	C₂	semidirect
10. D₃×#534	C₂	semidirect
11. #86298	C₂	semidirect
12. #86241	C₂	semidirect
13. #86235	C₂	semidirect
14. #85950	C₂	semidirect
15. C₂×#5605	C₂	semidirect
16. #85786	C₂	semidirect
17. C₂×#5545	C₂	semidirect
19. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
21. C₂×#1009	C₂²	semidirect
22. C₂×#1009	C₂²	semidirect
23. C₂×D₃×#41	C₂²	semidirect
24. C₂×D₃×#41	C₂²	semidirect
25. C₂×#1004	C₂²	semidirect
26. C₂×#1004	C₂²	semidirect
27. C₂×#1004	C₂²	semidirect
29. C₂²×D₃×D₄	C₂²	semidirect
30. C₂²×D₃×D₄	C₂²	semidirect
31. C₃×#547	C₂²	semidirect
32. C₃×#546	C₂²	semidirect
33. C₃×D₄²	C₂²	semidirect
34. C₃×#537	C₂²	semidirect
35. C₃×#534	C₂²	semidirect
36. C₃×#532	C₂²	semidirect
37. C₂×C₃×#121	C₂²	semidirect
38. C₂×C₃×C₄×D₄	C₂²	semidirect
39. #5833	C₂²	semidirect
40. #5832	C₂²	semidirect
41. #5829	C₂²	semidirect
42. #5824	C₂²	semidirect
43. #5806	C₂²	semidirect
44. #5804	C₂²	semidirect
45. C₂×#939	C₂²	semidirect
46. D₄×#67	C₂²	semidirect
47. D₄×#67	C₂²	semidirect
48. C₂×#937	C₂²	semidirect
49. C₂×D₄×Dic₃	C₂²	semidirect
50. C₂×#930	C₂²	semidirect
51. C₂×C₄×#67	C₂²	semidirect
52. C₂²×(C₂×D₃)⋊C₄	C₂²	semidirect
53. #5726	C₂²	semidirect
54. #5724	C₂²	semidirect
55. #5717	C₂²	semidirect
56. #5715	C₂²	semidirect
57. #5676	C₂²	semidirect
58. #5675	C₂²	semidirect
59. #5674	C₂²	semidirect
60. #5655	C₂²	semidirect
61. #5654	C₂²	semidirect
62. #5653	C₂²	semidirect
63. D₃×#123	C₂²	semidirect
64. #5631	C₂²	semidirect
65. #5630	C₂²	semidirect
66. #5628	C₂²	semidirect
67. #5627	C₂²	semidirect
68. #5612	C₂²	semidirect
69. #5611	C₂²	semidirect
70. #5610	C₂²	semidirect
71. #5609	C₂²	semidirect
72. #5609	C₂²	semidirect
73. #5607	C₂²	semidirect
74. #5606	C₂²	semidirect
75. #5605	C₂²	semidirect
76. #5605	C₂²	semidirect
77. #5605	C₂²	semidirect
78. #5605	C₂²	semidirect
79. #5605	C₂²	semidirect
80. #5605	C₂²	semidirect
81. #5605	C₂²	semidirect
82. D₃×#121	C₂²	semidirect
83. D₃×#121	C₂²	semidirect
84. #5597	C₂²	semidirect
85. #5597	C₂²	semidirect
86. #5596	C₂²	semidirect
87. #5591	C₂²	semidirect
88. #5590	C₂²	semidirect
89. #5589	C₂²	semidirect
90. D₃×#120	C₂²	semidirect
91. #5555	C₂²	semidirect
92. #5554	C₂²	semidirect
93. #5551	C₂²	semidirect
94. #5550	C₂²	semidirect
95. D₄×D₁₂	C₂²	semidirect
96. D₄×D₁₂	C₂²	semidirect
97. #5547	C₂²	semidirect
98. #5547	C₂²	semidirect
99. #5545	C₂²	semidirect
100. #5545	C₂²	semidirect
101. #5510	C₂²	semidirect
102. #5507	C₂²	semidirect
103. C₂×#894	C₂²	semidirect
104. C₂×#893	C₂²	semidirect
105. C₂×#892	C₂²	semidirect
106. #5493	C₂²	semidirect
107. #5490	C₂²	semidirect
108. C₂×#883	C₂²	semidirect
109. C₂×#882	C₂²	semidirect
110. C₂×#67⋊C₄	C₂²	semidirect
111. C₂×D₃×C₂²⋊C₄	C₂²	semidirect
112. #5477	C₂²	semidirect
113. C₂×C₄×D₁₂	C₂²	semidirect
114. C₂×#872	C₂²	semidirect
122. #3496	D₃	semidirect
133. C₂⁴×D₃	C₂³	semidirect
135. C₂×C₃×#41	C₂³	semidirect
136. C₂×C₃×#41	C₂³	semidirect
138. C₂²×C₃×D₄	C₂³	semidirect
139. C₂²×C₃×D₄	C₂³	semidirect
140. C₂²×C₃×D₄	C₂³	semidirect
141. C₂³×C₃×C₄	C₂³	semidirect
144. C₂²×#67	C₂³	semidirect
145. C₂²×#67	C₂³	semidirect
146. C₂²×#67	C₂³	semidirect
147. C₂³×Dic₃	C₂³	semidirect
153. C₂×#239	C₂³	semidirect
154. C₂×D₃×Q₈	C₂³	semidirect
159. C₂×#237	C₂³	semidirect
160. C₂×#237	C₂³	semidirect
161. C₂×#237	C₂³	semidirect
164. C₂×D₃×D₄	D₄	semidirect
168. C₂×D₃×D₄	C₂³	semidirect
169. C₂×D₃×D₄	C₂³	semidirect
170. C₂×D₃×D₄	C₂³	semidirect
171. C₂×D₃×D₄	C₂³	semidirect
172. C₂×D₃×D₄	C₂³	semidirect
173. C₂×D₃×D₄	C₂³	semidirect
174. C₂×D₃×D₄	C₂³	semidirect
175. C₂×D₃×D₄	C₂³	semidirect
177. C₂×#235	C₂³	semidirect
178. C₂×#235	C₂³	semidirect
179. C₂×#235	C₂³	semidirect
182. C₂²×D₁₂	C₂³	semidirect
183. C₂²×D₁₂	C₂³	semidirect
185. C₂²×C₄×D₃	C₂³	semidirect
186. C₂²×C₄×D₃	C₂³	semidirect
187. C₂²×C₄×D₃	C₂³	semidirect
188. C₂²×C₄×D₃	C₂³	semidirect
189. C₃×C₄⋊Q₈	C₂³	semidirect
190. C₃×#127	C₂³	semidirect
191. C₃×#124	C₂³	semidirect
192. C₃×#123	C₂³	semidirect
193. C₃×C₂²⋊Q₈	C₂³	semidirect
194. C₃×#121	C₂³	semidirect
195. C₃×#121	C₂³	semidirect
196. C₃×#121	C₂³	semidirect
197. C₃×#121	C₂³	semidirect
198. C₃×#121	C₂³	semidirect
199. C₃×#121	C₂³	semidirect
200. C₃×#120	C₂³	semidirect
201. C₃×C₄×D₄	C₂³	semidirect
202. C₃×C₄×D₄	C₂³	semidirect
203. C₃×C₄×D₄	C₂³	semidirect
204. C₃×C₄×D₄	C₂³	semidirect
205. C₂×C₃×C₄⋊C₄	C₂³	semidirect
206. C₂×C₃×C₄⋊C₄	C₂³	semidirect
207. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
208. C₂×C₃×C₂²⋊C₄	C₂³	semidirect
209. C₂×C₃×C₄²	C₂³	semidirect
210. #953	C₂³	semidirect
211. C₂×#217	C₂³	semidirect
212. C₂×#217	C₂³	semidirect
213. #947	C₂³	semidirect
214. #946	C₂³	semidirect
215. #944	C₂³	semidirect
216. #940	C₂³	semidirect
217. #940	C₂³	semidirect
218. #939	C₂³	semidirect
219. #939	C₂³	semidirect
220. #939	C₂³	semidirect
221. #939	C₂³	semidirect
222. #939	C₂³	semidirect
223. #939	C₂³	semidirect
224. #939	C₂³	semidirect
225. #938	C₂³	semidirect
226. #938	C₂³	semidirect
227. #938	C₂³	semidirect
228. #937	C₂³	semidirect
229. #937	C₂³	semidirect
230. #937	C₂³	semidirect
231. #937	C₂³	semidirect
232. #937	C₂³	semidirect
233. #937	C₂³	semidirect
234. #936	C₂³	semidirect
235. #935	C₂³	semidirect
236. D₄×Dic₃	C₂³	semidirect
237. D₄×Dic₃	C₂³	semidirect
238. #930	C₂³	semidirect
239. #930	C₂³	semidirect
240. #930	C₂³	semidirect
241. #930	C₂³	semidirect
242. #930	C₂³	semidirect
243. #930	C₂³	semidirect
244. #929	C₂³	semidirect
245. C₄×#67	C₂³	semidirect
246. C₄×#67	C₂³	semidirect
247. C₄×#67	C₂³	semidirect
248. C₄×#67	C₂³	semidirect
252. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
253. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
254. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
255. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
256. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
257. C₂×(C₂×D₃)⋊C₄	C₂³	semidirect
258. C₂×C₄⋊Dic₃	C₂³	semidirect
259. C₂×C₄⋊Dic₃	C₂³	semidirect
260. #924	C₂³	semidirect
261. C₂×Dic₃⋊C₄	C₂³	semidirect
262. C₂×Dic₃⋊C₄	C₂³	semidirect
263. C₂×Dic₃⋊C₄	C₂³	semidirect
264. C₂×C₄×Dic₃	C₂³	semidirect
265. C₂×C₄×Dic₃	C₂³	semidirect
266. #897	C₂³	semidirect
267. #896	C₂³	semidirect
268. #896	C₂³	semidirect
269. #895	C₂³	semidirect
270. #895	C₂³	semidirect
271. #895	C₂³	semidirect
272. #894	C₂³	semidirect
273. #894	C₂³	semidirect
274. #894	C₂³	semidirect
275. #894	C₂³	semidirect
276. #894	C₂³	semidirect
277. #893	C₂³	semidirect
278. #893	C₂³	semidirect
279. #892	C₂³	semidirect
280. D₃×C₄⋊C₄	C₂³	semidirect
281. D₃×C₄⋊C₄	C₂³	semidirect
282. #888	C₂³	semidirect
283. #886	C₂³	semidirect
284. #885	C₂³	semidirect
285. #884	C₂³	semidirect
286. #884	C₂³	semidirect
287. #884	C₂³	semidirect
288. #884	C₂³	semidirect
289. #883	C₂³	semidirect
290. #883	C₂³	semidirect
291. #883	C₂³	semidirect
292. #883	C₂³	semidirect
293. #883	C₂³	semidirect
294. #882	C₂³	semidirect
295. #882	C₂³	semidirect
296. #882	C₂³	semidirect
297. #882	C₂³	semidirect
298. #882	C₂³	semidirect
299. #882	C₂³	semidirect
300. #67⋊C₄	C₂³	semidirect
301. #67⋊C₄	C₂³	semidirect
302. D₃×C₂²⋊C₄	C₂³	semidirect
303. D₃×C₂²⋊C₄	C₂³	semidirect
304. D₃×C₂²⋊C₄	C₂³	semidirect
305. #878	C₂³	semidirect
306. #878	C₂³	semidirect
307. #875	C₂³	semidirect
308. #874	C₂³	semidirect
309. C₄×D₁₂	C₂³	semidirect
310. C₄×D₁₂	C₂³	semidirect
311. C₄×D₁₂	C₂³	semidirect
312. C₄×D₁₂	C₂³	semidirect
313. #872	C₂³	semidirect
314. #872	C₂³	semidirect
315. #869	C₂³	semidirect
322. C₂×H(5,𝔽₂)	C₂×D₃	semidirect
336. #547	C₂×D₃	semidirect
348. #546	C₂×D₃	semidirect
357. D₄²	C₂×D₃	semidirect
362. #537	C₂×D₃	semidirect
380. #534	C₂×D₃	semidirect
384. #532	C₂×D₃	semidirect
396. C₂×#121	C₂×D₃	semidirect
407. C₂×C₄×D₄	C₂×D₃	semidirect
419. C₂³×D₃	C₂×D₄	semidirect
432. C₂×C₃×D₄	C₂×D₄	semidirect
453. C₂×#67	C₂×D₄	semidirect
488. D₃×D₄	C₂×D₄	semidirect
496. C₂×D₁₂	C₂×D₄	semidirect
508. C₂×C₄×D₃	C₂×D₄	semidirect
577. C₂×#41	C₂²×D₃	semidirect
578. C₂×#41	C₂²×D₃	semidirect
604. C₂²×D₄	C₂²×D₃	semidirect
605. C₂²×D₄	C₂²×D₃	semidirect
606. C₂²×D₄	C₂²×D₃	semidirect
613. C₂³×C₄	C₂²×D₃	semidirect
617. C₄⋊Q₈	C₂²×D₃	semidirect
621. #127	C₂²×D₃	semidirect
626. #124	C₂²×D₃	semidirect
640. #123	C₂²×D₃	semidirect
648. C₂²⋊Q₈	C₂²×D₃	semidirect
672. #121	C₂²×D₃	semidirect
673. #121	C₂²×D₃	semidirect
674. #121	C₂²×D₃	semidirect
675. #121	C₂²×D₃	semidirect
676. #121	C₂²×D₃	semidirect
677. #121	C₂²×D₃	semidirect
691. #120	C₂²×D₃	semidirect
706. C₄×D₄	C₂²×D₃	semidirect
707. C₄×D₄	C₂²×D₃	semidirect
708. C₄×D₄	C₂²×D₃	semidirect
709. C₄×D₄	C₂²×D₃	semidirect
720. C₂×C₄⋊C₄	C₂²×D₃	semidirect
721. C₂×C₄⋊C₄	C₂²×D₃	semidirect
736. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
737. C₂×C₂²⋊C₄	C₂²×D₃	semidirect
740. C₂×C₄²	C₂²×D₃	semidirect
901. C₂×D₄	D₃×D₄	semidirect
1153. C₃	#62842	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×D₃×H(5,𝔽₂)	2
C₃×#3496	2
#87281	2
#86700	2
#86663	2
#86662	2
#86620	2
#86382	2
#86363	2
D₃×#534	2
#86298	2
#86241	2
#86235	2
#85950	2
C₂×#5605	2
#85786	2
C₂×#5545	2
#62842	3